Answer:
8/45m² + 2/35m
Step-by-step explanation:
...........................
normal body tem varies by the time of day. a series of readings was taken of the body temperature of a subject. the mean reading was found to be 36.5 C with a standard deviation of 0.3 C. if you wanted to convert the temp to the Fahrenheit scale, what would the new mean and standard deviation be?
Answer: 97.7 F 32.54 F
Step-by-step explanation:
So the equation to go from Celsius to Fahrenheit is 9/5(C)+32
So it would be 9/5(36.5)+32=97.7 F
And 9/5(0.3)+32=32.54 F
The new mean is 97.7 F and new standard deviation is 32.54 C.
what is Standard Deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.
Given:
Mean = 36.5 C
Standard deviation = 0.3 C
Now, converting Celsius to Fahrenheit as
= 9/5(C)+32
So, the new mean is
=9/5(36.5)+32
=97.7 F
and, new standard deviation is
= 9/5(0.3)+32
=32.54 F
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Which of the following is a characteristic of Euclidean geometry?
A. No lines are straight.
B. The sum of the measures of the angles in a triangle is greater than 180 degrees.
C. The parallel postulate is true.
D. The sum of the measures of the angles in a triangle is less than 180 degrees.
Answer:
b
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
PLS HELP ME ASAP ILL GIVER BRAINliest
Answer:
Step-by-step explanation:
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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7/52 as a mixed number
Answer:7
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
\(\frac{7}{52}\) is a proper fraction. Therefore, it cannot be written as a mixed number.
If you meant \(\frac{52}{7}\):7 can go into 52 7 times with 3 'parts' remaining.
This means that 7 is the whole number and the fraction is 3/7.
\(\frac{52}{7}=7\frac{3}{7}\)
Hope this helps.
TRUE OR FALSE. when constructing a confidence interval for a sample proportion, the t distribution is appropriate if the sample size is small.
The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.
In the given question we have to answer that the given statement is true and false.
The given statement is:
When constructing a confidence interval for a sample proportion, the t distribution is appropriate if the sample size is small.
The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.
When data are presented on a graph, they follow a bell-shaped pattern known as the t-distribution, with the majority of observations occurring near to the mean and relatively few occurring in the tails.
In cases with smaller sample numbers and unknowable data variance, it is a kind of normal distribution.
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Ed is going to frame the rectangular picture with the dimensions shown. The frame will be x+1 inches wide. Find the perimeter of the frame.
The perimeter of the frame for a rectangular picture with the given dimensions and a frame that is x + 1 inches wide is 2(L + W + 4x + 4).
In order to find the perimeter of the frame for a rectangular picture with the given dimensions, we must first identify the formula for perimeter. Perimeter is the total distance around the outside of a shape, and for a rectangle,
it can be calculated as follows:
Perimeter of a Rectangle = 2(length + width)In this case, the frame will be x + 1 inches wide.
Therefore, we can add this to the length and width of the picture to get the dimensions of the entire frame. Let's call the length of the picture "L" and the width of the picture "W".
Then, the dimensions of the frame will be (L + 2(x + 1)) by (W + 2(x + 1)).To find the perimeter of the frame,
we can plug these dimensions into the formula for perimeter of a rectangle:
Perimeter of the Frame = 2(L + 2(x + 1) + W + 2(x + 1))
Simplifying this expression by combining like terms gives:Perimeter of the Frame = 2(L + W + 4x + 4)
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What composition of transformations is being demonstrated in the graph
below?
A)reflection across the x-axis, then reflection across the y-axis
B)Translation left 5 down, then a rotation 90 degrees clockwise around the origin.
C)Rotation 180° around the origin, then reflection across the y-axis.
D)Translation right 5 & up 1, then rotation 180 degrees around the origin.
Answer:
Step-by-step explanation:
translation 5 to the left then rotating 180° clockwise
original was ABC, first transformation is A'B'C', then last A''B''C''
Show that the particular solution for the 2nd Order Differential equation dạy dy 4 +9y = 0, y(0) = 0, y'(0) = -8 dx = - = dx2 is 8 y = I e2xsin (V5x) 15
The second-order differential equation that is given is:
d2y/dx2 + 9y = 0
For this differential equation, we need to find the general solution of the differential equation and after that particular solution that satisfies the initial conditions.The auxiliary equation is:
m2 + 9 = 0 ⇒ m = ±3i
The general solution for the given differential equation is:
y = c1cos(3x) + c2sin(3x).
The particular solution can be determined as:Since there is no y' term in the given differential equation, we assume the solution to be of the form y = ae^(mx)Substituting this into the differential equation we get:(d2/dx2) (ae^(mx)) + 9ae^(mx) = 0On simplification, we get:
m^2 + 9 = 0 ⇒ m = ±3i
Thus the particular solution will be of the form:
y = a1sin(3x) + a2cos(3x)
On applying the initial conditions we get:
y(0) = 0
⇒ a2 = 0y'(0) = -8
⇒ a1 = 8/3
Thus the particular solution that satisfies the initial conditions is:y = (8/3)sin(3x)Therefore, the required particular solution is:y = 8/3 sin(3x)Let's check whether y = Ie^(2x)sin(√5x + π/4) satisfies the given differential equation or not!On differentiation the given solution once we get:y' = 2Ie^(2x)sin(√5x + π/4) + I√5e^(2x)cos(√5x + π/4).
Differentiating y' we get:y'' = 4Ie^(2x)sin(√5x + π/4) + 2I√5e^(2x)cos(√5x + π/4) - 5Ie^(2x)sin(√5x + π/4)Now substituting these values in the given differential equation we get:4Ie^(2x)sin(√5x + π/4) + 2I√5e^(2x)cos(√5x + π/4) - 5Ie^(2x)sin(√5x + π/4) + 9Ie^(2x)sin(√5x + π/4) = 0 Simplifying we get:6I√5e^(2x)cos(√5x + π/4) + 4Ie^(2x)sin(√5x + π/4) = 0We can see that this equation will not satisfy for any value of x, which implies that y = Ie^(2x)sin(√5x + π/4) is not the particular solution that satisfies the given differential equation and initial conditions, so the given solution is not correct.Therefore, the required particular solution that satisfies the given differential equation and initial conditions is:y = 8/3 sin(3x).
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graph the functions f(x) = 0.4 x1.1 and g(x) = 0.4 x0.9 in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by [0, 1]. viewing window [0, 10] by [0, 1]:
By connecting the below points, we will obtain the graphical representation of the functions f(x) and g(x) within the given viewing window.
To graph the functions \(f(x) = 0.4x^{1.1}\) and \(g(x) = 0.4x^{0.9}\) in the viewing window [0, 10] by [0, 1], we can plot several points and connect them to form the graphs.
Let's calculate a few points for each function within the given viewing window:
For f(x):
\(When x = 0, f(x) = 0.4(0)^{1.1} = 0.\)
\(When x = 2, f(x) = 0.4(2)^{1.1} = 0.632.\)
\(When x = 4, f(x) = 0.4(4)^{1.1} = 1.766.\\When x = 6, f(x) = 0.4(6)^{1.1} = 3.115.\)
\(When x = 8, f(x) = 0.4(8)^{1.1} = 5.038.\\\\When x = 10, f(x) = 0.4(10)^{1.1} = 7.549.\)
For g(x):
\(When x = 0, g(x) = 0.4(0)^{0.9} = 0.\\\\\When x = 2, g(x) = 0.4(2)^{0.9} = 0.445.\)
\(When x = 4, g(x) = 0.4(4)^{0.9} = 1.077.\\When x = 6, g(x) = 0.4(6)^{0.9} = 1.822.\)
\(When x = 8, g(x) = 0.4(8)^{0.9} = 2.637.\\When x = 10, g(x) = 0.4(10)^{0.9} = 3.497.\)
Therefore, Now, we can plot these points on a graph where the x-axis represents the values from 0 to 10, and the y-axis represents the values from 0 to 1. By connecting these points, we will obtain the graphical representation of the functions f(x) and g(x) within the given viewing window.
Note: Please note that the graph will have a curved shape, and the specific appearance may vary depending on the graphing tool or software used.
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I need more help, Answer quickly, please
Answer: For the time it increases by 2, For the amount earned it increases by 16. So that means the blanks= 8 (time), 47( amount earned), 95 (amount earned)
A group of friends wants to go to the amusement park. They have no more than $155
to spend on parking and admission. Parking is $6.50, and tickets cost $16.50 per
person, including tax. Use the drop-down menu below to write an inequality
representing p, the number of people who can go to the amusement park.
Answer:
9 people can go
Step-by-step explanation:
6.50 is a one-time deal. we take that away once and we're done with it.
155 - 6.50 = 148.5
148.5 / 16.50 = 9
The inequality representing 'p' the no. of people who can go to amusement park is p ≤ 9.
It is given that the total money to spend is not more than 155. Cost of parking is $ 6.50 and tickets cost per person is $16.50.
We have to find the inequality representing 'p' the no. of people who can go to amusement park.
What do you mean by inequalities ?
If the algebraic expressions are related by the symbols , greater than or greater than or equal to, less than, or less than or equal to , then relations are called as inequalities.
As per the question ;
The total money to spend ≤ 155
Parking = $ 6.50
Tickets cost per person = $16.50
Let's write an inequality expression using then given data ;
i.e.,
If ;
p = no. of people who can go to amusement park
So ;
The total cost which p person need to pay for admission and parking is ;
p × $ 16.50 + $ 6.50 ≤ 155
p × $16.50 ≤ $ 148.50
p ≤ 148.50 ÷ 16.50
p ≤ 9
Thus , the inequality representing 'p' the no. of people who can go to amusement park is p ≤ 9.
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Find the Value of each variable triangle 30, 40, 80
The value of the unknown angles in the triangle are as follows:
x = 70°y = 110°z = 30°How to find the angles in a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, the unknown angles of the triangle can be found as follow;
30 + 80 + x = 180° (sum of angles in a triangle)
110 + x = 180
x = 180 - 110
x = 70 degrees
Therefore,
x + y = 180(sum of angles on a straight line)
70 + y = 180
y = 180 - 70
y = 110°
110 + 40 + z = 180° (sum of angles in a triangle)
150 + z = 180
z = 180 - 150
z = 30 degrees
Therefore,
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What would be the Area in square inches of a rectangle with a length of radial 279 in and a width of radial 31 in
(You do not have put the units in your answer)
The area of rectangle in square inches is 8649 inches .
What is mensuration ?The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
Mensuration is the name given to the area, volume, and length of various geometric shapes in mathematics. These shapes can be found in either two or three dimensions.
Mensuration is the process of calculating various shape parameters, such as the perimeter, area, and volume, whereas geometry is the study of the characteristics and relationships between the points and lines that make up different shapes.
Calculationthe area of rectangle will be = length * width
therefore just substituting the values given in the question
thus ,
area will be = 279 * 31
= 8649 square inches
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i will mark brainliest
Answer:
The fraction is the area of the cross section and multipling by the height to get the volume= 17/2=8.5 unite cube
Formula for volume is length × width× height
Length ×width is the area, and the area is given so you just times that to the height
an insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. (a) (8 pts) find the 95% confidence interval for , the true proportion of all auto accidents that involve teenage drivers. (note: for full credit, show all your work. no credit
The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.
The formula for the confidence interval is:
CI = p1 ± Z * √((p1 * (1 - p1)) / n)
Where:
CI is the confidence interval,
p1 is the sample proportion (proportion of accidents involving teenage drivers),
Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),
n is the sample size (number of accidents checked).
Given:
Number of accidents checked (sample size), n = 582
Number of accidents involving teenage drivers, x = 91
First, we calculate the sample proportion:
p1 = x / n = 91 / 582 ≈ 0.1566
Now we can calculate the confidence interval:
CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)
Calculating the standard error of the proportion:
SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184
Substituting the values into the formula:
CI = 0.1566 ± 1.96 * 0.0184
Calculating the values:
CI = 0.1566 ± 0.0361
Finally, we can simplify the confidence interval:
CI = (0.1205, 0.1927)
Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).
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Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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Find the length of each missing side and each missing angle in the isosceles triangle below.
Answer:
x = 45
y = 45
z = 11.1
Step-by-step explanation:
Remark
The triangle is a right triangle. That means that it has 1 right angle.
It is also isosceles which means that the two legs that are not the hypotenuse are equal.
Result: z and 11.1 are equal z = 11.1
More remark
If the triangle is isosceles, that means that the angles that are not right angles must also be equal.
90 + x + y = 180
but x = y
90 + 2x = 180 Subtract 90
2x = 180 - 90 Divide by 2
2x/2 = 90/2
x = 45
What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?
Answer:
(a,b)------>(-1,-7)let
now
m(x-a)=(y-b)
2(x+1)=(y+7)(where m=slope
2x+2=y+7
2x-y=7-2
2x-y=5 is a required equation.
Choose the graph that matches the inequality y > 2/3 x – 1.
The graph of the inequality y > 2/3x – 1 is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
y > 2/3x – 1
The above expression is a linear inequality that implies that
Slope = 2/3y-intercept = -1Next, we plot the graph
See attachment for the graph of the inequality
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What are the 7 laws of exponents?
Answer:
1- Product of powers rule.
2- Quotient of powers rule.
3- Power of a power rule.
4- Power of a product rule.
5- Power of a quotient rule.
6- Zero power rule.
7- Negative exponent rule.
Step-by-step explanation:
Hope I helped! ^v^
9(-8-3m) what does this mean combining like terms
Answer:
-72-27m or switch them for -27m-27
Step-by-step explanation:
We are given the problem:
9(-8-3m)
and are asked to combine like terms.
Combining like terms means to combine terms/values that share similar properties. In this case, it would be single numbers or if we had more than 1 value with "m" as the variable, that.
We would have to use the distributive property in this case to combine like terms, so distribute the 9 to all terms in the parenthesis.
-72-27m
We usually put the variable and coefficient first, so it would be -27m-72.
Hope this helps! :)
Define the relation O on Z as follows: ᵾm, n € z, m O n <----> ⱻk € z |(m – n) = 2k +1 Which one of the following statements about the relation O is true? a. The relation is reflexive, symmetric, and transitive. b. The relation is not reflexive, not symmetric, and transitive. c. The relation is not reflexive, symmetric, and not transitive. d. The relation is reflexive, not symmetric, and transitive.
The relation O is not reflexive, symmetric, and not transitive is one of the following statements that is true about the relation O. which is option (C).
Given, \(\forall m, n \in Z, m O n \longleftrightarrow \exists k \in Z \mid(m-n)=2 k+1\)
Let's verify for the following relations :
Reflexive relation:
\(\forall a\in Z, a O a \longrightarrow \exists k\in Z \mid (a-a)= 2k+1\)
\(0\neq 2k+1\) for all k \(\in\) Z
Since 2k+1 can never be zero for any k \(\in\) Z, hence we conclude that the relation O is not reflexive.
Symmetric relation:
Suppose a, b \(\in\) Zsuch that a O b i.e. (a-b)=2k+1, where k\(\in\) Z.
Now, we need to check whether b O a is true or not i.e. (b-a)=2j+1 for some j\(\in\) Z
We have,
\((a-b) = 2k+1 \longrightarrow (b-a) = -2k-1 = 2(-k) - 1\)
Let j=-k-1, then we have j\(\in\) Z and 2j+1 = -2k-1
Hence, (b-a) = 2j+1, and we conclude that the relation O is symmetric.
Transitive relation:
Suppose a, b, c\(\in\) Z such that a O b and b O c.
Now, we need to check whether a O c is true or not.
We have,
(a-b)=2k_1+1 and (b-c)=2k_2+1 for some k_1,k_2\(\in\) Z
(a-b)+(b-c) = 2k_1+1 + 2k_2+1
a-c = 2k_1+2k_2+2
Let j=k_1+k_2+1, then we have j\(\in\) Z and a-c=2j
Hence, (a-c) is even and we conclude that the relation O is not transitive.
Therefore, the relation O is not reflexive, symmetric, and not transitive. Hence, option (C) is the correct answer.
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At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.
Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.
Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,
a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.
b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.
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Write a number of your choice, using the following clues:
a two digit number
greater than 40
divisible by both 2 and 3
Answer:
90
Step-by-step explanation:
90÷2= 45
90÷3=30
Can someone help and explain the terms and sequence with answers please?
29, 22, 15, 8
B) these are the first five terms of another sequence.
4, 7, 12, 19, 28
Find the nth term.
how many four letter strings can be formed from the letters a,b,c,d,e if the first letter must be a vowel and the last letter must be a consonant?
Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.
As given in the question,
Given letters are a, b, c, d, e has
Number of vowel = 2
Number of consonant= 3
Number of letter strings to be formed = 4
Condition:
First letter must be vowel
Last letter must be consonant
First place filled in 2 ways
Second and Third place filled in 5ways
Last place filled in 3 ways
Total number of ways to form four letters strings
= 2 × 5 × 5 × 3
= 150
Therefore, number of ways to form four letter string is 150 ways.
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If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.
Answer:
{ 1,2,3,4,5,6}
Step-by-step explanation:
W(-1, 4), X(1, 2), Y-2, 1); k = 3
Answer:
what is the questionStep-by-step explanation:
get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is
How many miles is the diagonal path from Jim house to the mall
The distance from Jim's house to the mall is given as follows:
11.25 miles.
How to obtain the distance between two points?Suppose that we have two points with coordinates given as follows:
\((x_1, y_1)\) and \((x_2, y_2)\)
Then the equation for the distance between these two points is given as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates are given as follows:
Jim's house: (17, 13).Mall: (8,1).Hence the distance is given as follows:
\(D = \sqrt{(17 - 8)^2+(13 - 1)^2}\)
D = 15 units.
Each unit represents 0.75 miles, hence the distance in miles is given as follows:
15 x 0.75 = 11.25 miles.
Missing InformationThe problem is given by the image presented at the end of the answer.
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